Argument from fallacy

Argument from fallacy is the formal fallacy of analyzing an argument and inferring that, since it contains a fallacy, its conclusion must be false.[1] It is also called argument to logic (argumentum ad logicam), fallacy fallacy,[2]fallacist's fallacy,[3] and bad reasons fallacy.[4]

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Thus, it is a special case of denying the antecedent where the antecedent, rather than being a proposition that is false, is an entire argument that is fallacious. A fallacious argument, just as with a false antecedent, can still have a consequent that happens to be true. The fallacy is in concluding the consequent of a fallacious argument has to be false.

That the argument is fallacious only means that the argument cannot succeed in proving its consequent.[7] But showing how one argument in a complex thesis is fallaciously reasoned does not necessarily invalidate the proof; the complete proof could still logically imply its conclusion if that conclusion is not dependent on the fallacy:

All great historical and philosophical arguments have probably been fallacious in some respect... If the argument is a single chain, and one link fails, the chain itself fails with it. But most historians' arguments are not single chains. They are rather like a kind of chain mail which can fail in some part and still retain its shape and function.

Bill: Americans and Canadians, among others, speak English too. By assuming that speaking English and being English always go together, you have just committed the package-deal fallacy. You are incorrect. Therefore, you are not English.

Both of Bill's rebuttals are arguments from fallacy. Ginger may or may not be a cat, and Tom may or may not be English. The fact that Tom's argument was fallacious is not, in itself, sufficient proof that his conclusion is false.

William Lycan identifies the fallacy fallacy as the fallacy "of imputing fallaciousness to a view with which one disagrees but without doing anything to show that the view rests on any error of reasoning". Unlike ordinary fallacy fallacies, which reason from an argument's fallaciousness to its conclusion's falsehood, the kind of argument Lycan has in mind treats another argument's fallaciousness as obvious without first demonstrating that any fallacy at all is present. Thus in some contexts it may be a form of begging the question.[8]